Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899127 | Journal of Differential Equations | 2018 | 47 Pages |
Abstract
In this paper, we study the Wong-Zakai approximations given by a stationary process via the Wiener shift and their associated long term behavior of the stochastic reaction-diffusion equation driven by a white noise. We first prove the existence and uniqueness of tempered pullback attractors for the Wong-Zakai approximations of stochastic reaction-diffusion equation. Then, we show that the attractors of Wong-Zakai approximations converges to the attractor of the stochastic reaction-diffusion equation for both additive and multiplicative noise.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xiaohu Wang, Kening Lu, Bixiang Wang,